Direct answer
CR1620 and CR1632 share 16 mm diameter, 3 V nominal voltage and lithium manganese-dioxide chemistry. The 2.0 versus 3.2 mm height difference is 1.2 mm and prevents a same-size verdict.
Both are 16 mm in diameter; heights are 2 mm and 3.2 mm. The physical envelopes differ (16 × 2 mm versus 16 × 3.2 mm). Do not force, stack or infer equivalence from a shared diameter or code pattern.
Do not infer acceptability from fit alone. The device maker’s complete code and current instructions remain authoritative.